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Geometric measure theory : a beginner's guide

Author: Frank Morgan, (Professor of Mathematics Williams College)
Publisher: Boston : Academic Press, ©1988.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:

Geometric measure theory is the mathematical framework for the study of crystal growth, clusters of soap bubbles, and similar structures involving minimization of energy. Morgan emphasizes geometry  Read more...

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Genre/Form: Electronic books
Additional Physical Format: Print version:
Morgan, Frank.
Geometric measure theory.
Boston : Academic Press, ©1988
(DLC) 87012603
(OCoLC)15697079
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Frank Morgan, (Professor of Mathematics Williams College)
ISBN: 9780125068550 0125068557 9781483277806 1483277801
OCLC Number: 680491694
Reproduction Notes: Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL
Description: 1 online resource (viii, 145 pages) : illustrations
Details: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Contents: Geometric Measure Theory --
Measures --
Lipschitz Functions and Rectifiable Sets --
Normal and Rectifiable Currents --
The Compactness Theorem and the Existence of Area-Minimizing Surfaces --
Examples of Area-Minimizing Surfaces --
The Approximation Theorem --
Survey of Regularity Results --
Monotonicity and Oriented Tangent Cones --
The Regularity of Area-Minimizing Hypersurfaces --
Flat Chains Modulo [upsilon], Varifolds, and (M, [varepsilon], [delta])-Minimal Sets --
Soap Bubble Clusters --
Proof of Double Bubble Conjecture --
The Hexagonal Honeycomb and Kelvin Conjectures --
Immiscible Fluids and Crystals --
Isoperimetric Theorems in General Codimension.
Responsibility: Frank Morgan.

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